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231003013300 = 2252431093311489
BaseRepresentation
bin1101011100100011011…
…0100100000010110100
3211002020222220221110021
43113020312210002310
512241043232411200
6254042112134524
722455320133613
oct3271066440264
9732228827407
10231003013300
1189a711a6a44
123892a537444
1318a25437b67
14b27581d87a
15602017741a
hex35c8da40b4

231003013300 has 144 divisors (see below), whose sum is σ = 519552510400. Its totient is φ = 89094297600.

The previous prime is 231003013273. The next prime is 231003013301. The reversal of 231003013300 is 3310300132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231003013301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155138956 + ... + 155140444.

Almost surely, 2231003013300 is an apocalyptic number.

231003013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231003013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259776255200).

231003013300 is an abundant number, since it is smaller than the sum of its proper divisors (288549497100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231003013300 is a wasteful number, since it uses less digits than its factorization.

231003013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1986 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 231003013300 its reverse (3310300132), we get a palindrome (234313313432).

The spelling of 231003013300 in words is "two hundred thirty-one billion, three million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 109 172 215 218 331 430 436 545 662 860 1075 1090 1324 1489 1655 2150 2180 2725 2978 3310 4300 4687 5450 5956 6620 7445 8275 9374 10900 14233 14890 16550 18748 23435 28466 29780 33100 36079 37225 46870 56932 64027 71165 72158 74450 93740 117175 128054 142330 144316 148900 162301 180395 234350 256108 284660 320135 324602 355825 360790 468700 492859 640270 649204 711650 721580 811505 901975 985718 1280540 1423300 1551397 1600675 1623010 1803950 1971436 2464295 3102794 3201350 3246020 3607900 4057525 4928590 6205588 6402700 6978943 7756985 8115050 9857180 12321475 13957886 15513970 16230100 21192937 24642950 27915772 31027940 34894715 38784925 42385874 49285900 53721631 69789430 77569850 84771748 105964685 107443262 139578860 155139700 174473575 211929370 214886524 268608155 348947150 423858740 529823425 537216310 697894300 1059646850 1074432620 1343040775 2119293700 2310030133 2686081550 4620060266 5372163100 9240120532 11550150665 23100301330 46200602660 57750753325 115501506650 231003013300